Q23 of 354 Page 12

Differentiate the following functions with respect to x:


Let xn = tanθ


Now





Considering the limits,


0 < x < ∞


0 < xn < ∞



Now,


y = cos–1(cos2θ)


y = 2θ


y = tan–1(xn)


Differentiating w.r.t x, we get





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